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3 years ago

Determine if the function is continuous to its domain

Mathematics

1 answer:

Maurinko [17]3 years ago

6 0

Yes, it is continuous to its domain

<h2>Explanation:</h2><h2></h2>

In order to find the domain of the function we need to get the restrictions:

1. From natural log:

$x>0$

2. From quotient:

$x\neq 0$

Matching these two restrictions the domain is:

$x\in (0,\infty)$

So the function is continuous to its domain because is defined for every x-value in the interval $(0, \infty)$ )

<h2>Learn more:</h2>

Functions: brainly.com/question/12891789

#LearnWithBrainly

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Identify all number sets to which the square root of 25 belongs to.

const2013 [10]

Answer:

SOLUTION: Explain why the square root of 25 belongs to 4 subsets of the real numbers , but the square root of 5 only belongs to 1 . tell which subsets each belong to and why .

Step-by-step explanation:

The square root of 25 is 5, which

1. A rational number, since 5 is the ratio of the two integers 5 and 1.

2. An integer since 5 is an element of {...,-3,-2,-1,0,1,2,3,.}

3. A whole number, since 5 is an element of {0,1,2,3.}

4. A counting number, since 5 is an element of {1,2,3,}

The square root of 5 is only

1. An irrational number, since it is not the ratio of any two integers.

[It can only be approximated by

this nonrepeating infinite decimal, it goes on forever:

2.2360679774997896964091736687312762354406183596115257...]

4 0

2 years ago

Andrew believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request.

Artist 52 [7]

<span>   Honor roll Not on honor roll Total
Received math class requested 315   64   379
Did not get math class requested 41   80   121
Total 356 144   500

Honor roll: request granted: 315/356 = 0.88 x 100% = 88%
Not Honor roll request granted: 64/144 = 0.44 x 100% = 44%

Honor roll students were given preference in granting request than those not in the honor roll.</span>

5 0

3 years ago

The students in Jeremiah's grade voted to select a guest speaker. 45 students voted for a famous athlete. If there are 90 studen

Ghella [55]

Answer:

50%

Step-by-step explanation:

45 is half of 90. A percent is out of 100. So when you split 100 in half, it equals 50. The answer is 50%. Glad I could help!

3 0

2 years ago

Read 2 more answers

A sequence of 1 million iid symbols(+1 and +2), Xi, are transmitted through a channel and summed to produce a new random variabl

Zigmanuir [339]

Answer:

E(w) = 1600000

v(w) = 240000

Step-by-step explanation:

given data

sequence = 1 million iid (+1 and +2)

probability of transmitting a +1 = 0.4

solution

sequence will be here as

P{Xi = k } = 0.4 for k = +1

0.6 for k = +2

and define is

x1 + x2 + ................ + X1000000

so for expected value for W

E(w) = E( x1 + x2 + ................ + X1000000 ) ......................1

as per the linear probability of expectation

E(w) = 1000000 ( 0.4 × 1 + 0.6 × 2)

E(w) = 1600000

and

for variance of W

v(w) = V ( x1 + x2 + ................ + X1000000 ) ..........................2

v(w) = V x1 + V x2 + ................ + V X1000000

here also same as that xi are i.e d so cov(xi, xj ) = 0 and i ≠ j

v(w) = 1000000 ( v(x) )

v(w) = 1000000 ( 0.24)

v(w) = 240000

8 0

3 years ago

Henry can write 5 1/4 pages of his novel in 3 hours how many page can he write in 8 hours

ICE Princess25 [194]

If you would like to know how many pages can Henry write in 8 hours, you can calculate this using the following steps:

5 1/4 = 21/4 pages ... 3 hours
x pages = ? ... 8 hours

21/4 * 8 = 3 * x
21 * 2 = 3 * x
3 * x = 42
x = 42 / 3
x = 14 pages

Henry can write 14 pages of his novel in 8 hours.

8 0

3 years ago